
% Author: Kazuma Takakura
% Date: 17 May 2025
% Time: 10:51:34

\begin{table}[h!]\footnotesize
  \centering
  \caption{Heterogeneity among Baseline Abilites (Quantile)}
\label{tab:hetero_quantile}
\scalebox{1}{
\begin{threeparttable}
\begin{tabular}{lccccccc}\toprule
 Dependent Variable & Baseline  & Difference & Obs & N of clusters  \\\midrule\midrule
 Rapid math test score^{a} & Math quartile 4  & -0.193 & 58 & 20 \\ 
                      &        & ( 0.520 ) & &  \\ 
  & Math quartile 3  & -0.308 & 60 & 23 \\ 
                      &        & ( 0.374 ) & &  \\ 
  & Math quartile 2  & 0.204 & 61 & 27 \\ 
                      &        & ( 0.466 ) & &  \\ 
  & Math quartile 1  & -0.508 & 60 & 26 \\ 
                      &        & ( 0.148 ) & &  \\ 
 RSES^{a} & RSES quartile 4  & 1.014*** & 50 & 24 \\ 
                      &        & ( 0.008 ) & &  \\ 
  & RSES quartile 3  & 0.576* & 62 & 23 \\ 
                      &        & ( 0.078 ) & &  \\ 
  & RSES quartile 2  & -0.064 & 65 & 27 \\ 
                      &        & ( 0.768 ) & &  \\ 
  & RSES quartile 1  & 0.281 & 59 & 25 \\ 
                      &        & ( 0.290 ) & &  \\ 
 CPCS^{a} & CPCS quartile 4  & 0.586** & 53 & 23 \\ 
                      &        & ( 0.040 ) & &  \\ 
  & CPCS quartile 3  & 0.667 & 52 & 26 \\ 
                      &        & ( 0.148 ) & &  \\ 
  & CPCS quartile 2  & 0.266 & 72 & 26 \\ 
                      &        & ( 0.404 ) & &  \\ 
  & CPCS quartile 1  & 0.440 & 59 & 24 \\ 
                      &        & ( 0.116 ) & &  \\ 
\\\midrule
\end{tabular}
\begin{tablenotes}
\item (a) Dependent variables are standardized using the average and variance of the whole follow-up sample in the February 2022 survey. 
\item (b) Cutoffs are created based on their ability to perform each item at the baseline. 
\item (c) Wild cluster bootstrap p-values are reported within parentheses. Clusters are schools at the baseline.
\item (d) $^*$ Significant at 10\% level; $^{**}$ significant at 5\% level; $^{***}$ significant at 1\% level. 
\end{tablenotes}
\end{threeparttable}
}
\label{tab:addlabel}%
\end{table}




